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Finding the Third Proportional to 467,124.75 and 613,365.75

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Solution

The third proportional to 467,124.75 and 613,365.75 is: 805,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,124.75 : 613,365.75 = 613,365.75 : x
  2. Step 2: Convert to fraction form
    467,124.75/613,365.75 = 613,365.75/x
  3. Step 3: Cross multiply
    467,124.75x = 613,365.75 × 613,365.75
  4. Step 4: Simplify right side
    467,124.75x = 376,217,543,273.06
  5. Step 5: Solve for x
    x = 376,217,543,273.06/467,124.75
  6. Step 6: Final answer
    x = 805,389.87

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.